Question 205527: okay i had a math problem in class today and this isn't from a textbook
here it is
Input----Output
1------ 4
2------ 8
3------ 24
4------ X
Solve X, and the answer is not 4, 96, or 32. Please Help me ASAP!!!!!
Found 2 solutions by Targetweek, Edwin McCravy:
Answer by Targetweek(62)   (Show Source):
You can put this solution on YOUR website! i used a regression calculator on another website
sorry i can't explain how to do it
the equation is gave me is 
and when x = 4 then y = 52
Answer by Edwin McCravy(20056)  (Show Source):
You can put this solution on YOUR website! okay i had a math problem in class today and this isn't from a textbook
here it is
Input----Output
1------ 4
2------ 8
3------ 24
4------ X
Solve X, and the answer is not 4, 96, or 32. Please Help me ASAP!!!!!
Use a quadratic polynomial in n:
When the Input is n, assume the Output is  .
Substituting the given data:
When the Input is 1, the Output is  .
When the Input is 2, the Output is  .
When the Input is 3, the Output is  .
So we solve the system of equations:
Solve that system by any method you know, and get
 ,  , and 
So the expression
becomes
 . Therefore, to check the first three terms in
the equation to see if it is correct:
When the Input is 1, the Output is  .
When the Input is 2, the Output is  .
When the Input is 3, the Output is  .
Those are correct, so to get the next term we substitute n=4:
When the Input is 4, the Output is  .
Edwin
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